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1,013,132

1,013,132 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,013,132 (one million thirteen thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 47 × 317. Written other ways, in hexadecimal, 0xF758C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
2,313,101
Square (n²)
1,026,436,449,424
Cube (n³)
1,039,915,612,877,835,968
Divisor count
24
σ(n) — sum of divisors
1,923,264
φ(n) — Euler's totient
465,152
Sum of prime factors
385

Primality

Prime factorization: 2 2 × 17 × 47 × 317

Nearest primes: 1,013,063 (−69) · 1,013,143 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 17 · 34 · 47 · 68 · 94 · 188 · 317 · 634 · 799 · 1268 · 1598 · 3196 · 5389 · 10778 · 14899 · 21556 · 29798 · 59596 · 253283 · 506566 (half) · 1013132
Aliquot sum (sum of proper divisors): 910,132
Factor pairs (a × b = 1,013,132)
1 × 1013132
2 × 506566
4 × 253283
17 × 59596
34 × 29798
47 × 21556
68 × 14899
94 × 10778
188 × 5389
317 × 3196
634 × 1598
799 × 1268
First multiples
1,013,132 · 2,026,264 (double) · 3,039,396 · 4,052,528 · 5,065,660 · 6,078,792 · 7,091,924 · 8,105,056 · 9,118,188 · 10,131,320

Sums & aliquot sequence

As consecutive integers: 126,638 + 126,639 + … + 126,645 59,588 + 59,589 + … + 59,604 21,533 + 21,534 + … + 21,579 7,382 + 7,383 + … + 7,517
Aliquot sequence: 1,013,132 910,132 682,606 341,306 243,814 152,762 89,914 61,862 30,934 15,470 20,818 14,894 9,514 5,174 3,226 1,616 1,546 — unresolved within range

Continued fraction of √n

√1,013,132 = [1006; (1, 1, 5, 9, 3, 5, 2, 1, 1, 1, 1, 1, 11, 11, 1, 4, 1, 2, 1, 4, 4, 10, 29, 1, …)]

Representations

In words
one million thirteen thousand one hundred thirty-two
Ordinal
1013132nd
Binary
11110111010110001100
Octal
3672614
Hexadecimal
0xF758C
Base64
D3WM
One's complement
4,293,954,163 (32-bit)
Scientific notation
1.013132 × 10⁶
As a duration
1,013,132 s = 11 days, 17 hours, 25 minutes, 32 seconds
In other bases
ternary (3) 1220110202102
quaternary (4) 3313112030
quinary (5) 224410012
senary (6) 33414232
septenary (7) 11416511
nonary (9) 1813672
undecimal (11) 6321aa
duodecimal (12) 40a378
tridecimal (13) 2961b3
tetradecimal (14) 1c5308
pentadecimal (15) 1502c2

As an angle

1,013,132° = 2,814 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬三千一百三十二
Chinese (financial)
壹佰零壹萬參仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٠١٣١٣٢ Devanagari १०१३१३२ Bengali ১০১৩১৩২ Tamil ௧௦௧௩௧௩௨ Thai ๑๐๑๓๑๓๒ Tibetan ༡༠༡༣༡༣༢ Khmer ១០១៣១៣២ Lao ໑໐໑໓໑໓໒ Burmese ၁၀၁၃၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013132, here are decompositions:

  • 79 + 1013053 = 1013132
  • 103 + 1013029 = 1013132
  • 139 + 1012993 = 1013132
  • 151 + 1012981 = 1013132
  • 229 + 1012903 = 1013132
  • 271 + 1012861 = 1013132
  • 433 + 1012699 = 1013132
  • 499 + 1012633 = 1013132

Showing the first eight; more decompositions exist.

Hex color
#0F758C
RGB(15, 117, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.140.

Address
0.15.117.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.140

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3132 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3132-10-01 (MMDYYYY (US, single-digit day))
  • 3132-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,013,132 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.